In this article, we study the existence and nonexistence of solutions for the system
where , , p,q are two nonnegative functions on and A, B satisfy appropriate conditions. Using potential theory tools, we show the existence of a positive continuous solution. This allows us to prove the existence of entire positive radial solutions for some elliptic systems.
Submitted January 20, 2012. Published April 10, 2012.
Math Subject Classifications: 35J56, 31B10, 34B16, 34B27.
Key Words: Nonlinear equation; Green's function; asymptotic behavior; singular operator; positive solution.
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| Sabrine Gontara |
Dépatement de mathématiques
Faculté des sciences de Tunis
Campus Universitaire, 2092 Tunis, Tunisia
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